Lesson Plan
Illustrative Mathematics

Extensions, Bisections and Dissections in a Rectangle

For Teachers 9th - 11th Standards
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
Lesson Plan
Curated OER

What Goes Around

For Teachers 4th
Fourth graders investigate the relationships between the area and perimeters of squares and rectangles. They calculate the perimeter of rectangles and squares using a formula. Students investigate the relationship between the perimeter...
Lesson Plan
Curated OER

A Cylinder Workshop

For Teachers 7th - 10th
Students work with given formulas to solve for specific variables. The calculation of the volume of a cylinder and the change in volume when there is a constant surface area is analyzed in this lesson.
Lesson Plan
Curated OER

Applications and Problem Solving Using Quadratic Equation

For Teachers 6th - 8th
In this math worksheet, learners find the solutions to the problems using the quadratic formula. They also create the algebraic expressions.
Lesson Plan
Curated OER

Volume Of A Prism

For Teachers 8th
Eighth graders investigate the concept of a prism and finding the volume. They begin the inquiry by attempting to find the surface area in order to begin the inquiry. Students are expected to apply memory for the mathematical formulas in...
Lesson Plan
Curated OER

Cut It Out!

For Teachers 8th - 11th
Learners calculate the surface area of polygons. In this geometry lesson, students use spacial reasoning to find the answer to their problem. They analyze solids and create formulas to estimate the measurements of the area.
Lesson Plan
Curated OER

Investigation-Looking at Polygons

For Teachers 8th
Eighth graders plot points and investigate polygons. They locate a point, using ordered pairs of integers on the coordinate plane. Students compare geometric measurements and computations on coordinate axes as they are applied to...
Lesson Plan
Curated OER

Candy Bar Measurements

For Teachers 3rd - 4th Standards
Geometers explore mathematics by completing an object measurement worksheet. They utilize a variety of candy bars and rulers to conduct a measurement experiment in class. They complete worksheets as a group based on the measurement...
Lesson Plan
Curated OER

Area of Parallelograms and Triangles

For Teachers 8th - 10th
Students explain the formula for finding the area of a paralellogram and its relation to the area of a rectangle. Finally, they construct the formula for the area of a paralellogram.
Lesson Plan
Curated OER

Perimeter and Area of Rectangles

For Teachers 6th
Sixth graders solve for the area and perimeter. In this geometry lesson, 6th graders investigate polygons and use a formula to find the area and perimeter. They find the area and perimeter of various polygons.
Lesson Plan
Curated OER

Measurement: Finding Areas of Rectangles

For Teachers 4th - 5th
Students construct the formula for the area of a rectangle.
Lesson Plan
Curated OER

Area of Quadrilaterals

For Teachers 5th - 6th
In this math worksheet, learners read an informative chart about how to find the area of quadrilaterals. Students then answer 6 questions in which the area of quadrilaterals is calculated.
Lesson Plan
Curated OER

The Value of Volume

For Teachers 9th - 11th
Students measure the perimeter and area of their polygons. In this geometry lesson plan, students calculate the volume and area using the correct tools. They calculate the time and temperature and the perimeter and side lengths of...
Lesson Plan
Curated OER

Quadrilateral Attributes

For Teachers 7th - 8th
Students classify quadrilaterals. In this quadrilateral lesson, students identify the characteristics of quadrilaterals. They write their findings in a journal. Students use geoboards to create quadrilaterals from given descriptions.
Lesson Plan
Curated OER

Trapezoid and Midpoint Rule

For Teachers 9th - 11th
Students solve problems of area using the trapezoid and midpoint rule. In this calculus lesson, students take the derivative of the functions as they approximate the area under a curve. They calculate the exact area using the area formula.
Lesson Plan
Curated OER

In the Path of the Ancients: Unearthing Formulas for Area

For Teachers 9th - 12th
Young scholars apply the formulas for the area of parallelograms and triangles. Through guided practice, students discover the correct way to apply the formulas. Working in pairs, they write their own problems featuring the formulas.
Lesson Plan
Curated OER

Measuring with Mathematics

For Teachers 8th
Eighth graders discover how the change in the dimensions of a shape cause a change in the overall area of the shape, but the perimeter stay the same. They, in groups, go out to the playground and construct large areas using stakes and rope.
Lesson Plan
Curated OER

Painter's Area

For Teachers 6th - 7th
Students demonstrate geometric relationships of finding area of rectangles and squares. They apply determine the quantity of paint needed to cover the area by using the concept of quantity.
Lesson Plan
Alabama Learning Exchange

Dog Gone Again!

For Teachers 3rd - 7th Standards
Here is a real-life lesson! Learners must plan the dimensions of a rectangular fence to reign in a runaway dog. They survey what shape and size fence is needed and use formulas to find perimeter and area of the fence. They explore what...
Lesson Plan
Illustrative Mathematics

Overlapping Squares

For Teachers 5th - 7th Standards
The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....
Lesson Plan
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EngageNY

Definition and Properties of Volume

For Teachers 9th - 10th Standards
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder. 
Lesson Plan
Virginia Department of Education

Volume of a Rectangular Prism

For Teachers 7th Standards
Fill the minds of your young mathematicians. A hands-on activity has learners fill in a rectangular prism with unit cubes to determine its volume. the exercise provides a great hands-on way for learners to connect the activity...
Lesson Plan
Curated OER

Word Problems: Geometry

For Teachers 5th - 8th
Students solve word problems by using basic geometry. In this geometry lesson, students use geometric formulas to find the perimeter, area, and volume of objects. Students complete a worksheet.
Lesson Plan
Curated OER

Calculate It

For Teachers 4th
Fourth graders find the area and perimeters of squares and rectangles using a calculator to check their multiplication. They use the appropriate formulas to find the area and perimeter of the given geometric shapes.